Conceited, sticks around (4)
I believe the answer is:
smug
'conceited' is the definition.
(I've seen this before)
'sticks around' is the wordplay.
'sticks' becomes 'gums'.
'around' shows that the letters should be reversed in order.
'gums' reversed gives 'SMUG'.
(Other definitions for smug that I've seen before include "Be envious of" , "Irritatingly pleased with oneself" , "Self-satisfied, stuffy" , "Unctuous" , "Full of oneself" .)